Imaging n-Dimensional Spaces Within m-Dimensional Spaces: An Extension of Hinton’s Method

Imaging n-Dimensional Spaces Within m-Dimensional Spaces: An Extension of Hinton’s Method

We derive a Euclidean manifold that is virtually cyclic using a simple equation based on a Euclidean geometry and related to Hinton's method. The derived equation is simple to understand, but able to project n-dimensional spaces into m-dimensional spaces. In addition, the method produces exact...

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Veröffentlicht in:Applied physics research 2024-04, Vol.16 (1), p.209
1. Verfasser: Houston, Louis M.
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description We derive a Euclidean manifold that is virtually cyclic using a simple equation based on a Euclidean geometry and related to Hinton's method. The derived equation is simple to understand, but able to project n-dimensional spaces into m-dimensional spaces. In addition, the method produces exact images of rectangular cuboids as elements of a vector space, implying that information is a vector and not a scalar.
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